Checkerboard graph monodromies
Abstract
We associate an open book with any connected plane checkerboard graph, thus providing a common extension of the classes of prime positive braid links and positive tree-like Hopf plumbings. As an application, we prove that the link type of a prime positive braid closure is determined by the linking graph associated with that braid.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- 10.48550/arXiv.1706.09210
- arXiv:
- arXiv:1706.09210
- Bibcode:
- 2017arXiv170609210B
- Keywords:
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- Mathematics - Geometric Topology;
- 57M25;
- 20F36
- E-Print:
- 23 pages, 12 figures